Occupied processes augment Markov processes with occupation flows to enable Markovian lifts and an Ito calculus for path-dependent PDEs where occupation acts as time.
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Magnetic noise in CrCl3 nanoflakes is strongest in the ferromagnetic phase, as shown by nitrogen-vacancy relaxometry and ferromagnetic resonance.
Replacing the occupation measure by K cylindrical coordinates in a partition of unity gives strongly convergent (O(1/K)) finite-dimensional SDE approximations of occupied diffusions.
General criteria extend L^p-mean Wasserstein convergence rates of occupation measures to non-stationary or non-Markovian ergodic processes under conditional convergence to equilibrium, with applications to Brownian diffusions and fractional Brownian driven SDEs.
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Occupied Processes: Going with the Flow
Occupied processes augment Markov processes with occupation flows to enable Markovian lifts and an Ito calculus for path-dependent PDEs where occupation acts as time.
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Probing GHz Spin Dynamics Across Magnetic Phase Transitions in CrCl3 Nanoflakes Using Nitrogen-Vacancy Microscopy
Magnetic noise in CrCl3 nanoflakes is strongest in the ferromagnetic phase, as shown by nitrogen-vacancy relaxometry and ferromagnetic resonance.
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Cylindrical Projections of Occupied Diffusions
Replacing the occupation measure by K cylindrical coordinates in a partition of unity gives strongly convergent (O(1/K)) finite-dimensional SDE approximations of occupied diffusions.
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Convergence rate of the occupation measure of classes of ergodic processes toward their invariant distribution in mean Wasserstein distance
General criteria extend L^p-mean Wasserstein convergence rates of occupation measures to non-stationary or non-Markovian ergodic processes under conditional convergence to equilibrium, with applications to Brownian diffusions and fractional Brownian driven SDEs.